What is the answer to 4/x+3/(x+1)=3 ?

The answer to 4/x+3/(x+1)=3 is x=2,x=-2/3

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4/x+3/(x+1)=3

\frac{4}{x} + \frac{3}{x + 1} = 3

x = 2, x = - \frac{2}{3}

Decimal Notation

x = 2, x = - 0.66666 \dots

Solution steps

\frac{4}{x} + \frac{3}{x + 1} = 3

Multiply by LCM

4 (x + 1) + 3 x = 3 x (x + 1)

Solve

4 (x + 1) + 3 x = 3 x (x + 1) : x = 2, x = - \frac{2}{3}

x = 2, x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = 2, x = - \frac{2}{3}

\frac{2}{3} = \frac{7}{x} - 4

x, y = \frac{x - 3}{x + 2}

\frac{6 ( r ^{3} - 1 )}{r} = - 14 (r - 1)

\frac{12 + 6 x}{2 x} = \frac{3}{3}

(\frac{- 4 x - 4}{x ^{2} + 2 x + 5}) = 0